Download presentation

Presentation is loading. Please wait.

Published byDevyn Irish Modified over 3 years ago

1
MATH 1010 3.3 Truth Tables and Equivalent Statements Judy Ahrens, 2005 Pellissippi State Technical Community College slide 1 The conditional: If p, then q. p is the antecedent and q is the consequent. Ex 1: If Ella reaches that note, then she will shatter glass. If p, then q or p q. a) Ella reaches that note and the glass shatters. If both p and q are true, then p q is true. (Ella didn’t lie.) d) Ella doesn’t reach that note and the glass doesn’t shatter. I If p is false and q is false, then p q is true. (Ella didn’t lie.) TF TF T FT F TT p q b) Ella reaches that note and the glass doesn’t shatter. If p is t true and q is false, then p q is false. (Ella didn’t lie.) c) Ella doesn’t reach that note and the glass shatters. If p is t false and q is true, then p q is true. (Ella didn’t lie.)

2
F F T T F T p q T T F T Truth Tables and Tautologies slide 2 Ex 2: T T F T T T T T T T F F ~p This statement is a tautology because it is always true. The negation of is. If Ella reaches that note, the glass will shatter. Negation: Ella reaches that note and the glass doesn’t shatter. The statement is equivalent to.

3
Truth Values slide 3 Ex 3: Assume that p and r are false, and q is true. Find the truth value of. The End

Similar presentations

OK

CSNB143 – Discrete Structure LOGIC. Learning Outcomes Student should be able to know what is it means by statement. Students should be able to identify.

CSNB143 – Discrete Structure LOGIC. Learning Outcomes Student should be able to know what is it means by statement. Students should be able to identify.

© 2018 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google